The amounts a soft drink machine is designed to dispense foreach drink are normally distributed, with a mean of 11.7 fluidounces and a standard deviation of 0.2 fluid ounce. A drink israndomly selected.
(a) Find the probability that the drink is less than 11.6 fluidounces.
(b) Find the probability that the drink is between 11.5 and 11.6fluid ounces.
(c) Find the probability that the drink is more than 12 fluidounces. Can this be considered an unusual event? Explain yourreasoning.
Is a drink containing more than 12 fluid ounces an unusualevent?